Stability of localized bulging in inflated membrane tubes under volume control

被引：44

作者：

Fu, Y. B. ^{[1
]}

Xie, Y. X. ^{[2
,3
]}

机构：

[1] Univ Keele, Dept Math, Keele ST5 5BG, Staffs, England

[2] Tianjin Univ, Dept Mech, Tianjin 300072, Peoples R China

[3] Tianjin Key Lab Modern Engn Mech, Tianjin 300072, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2010年 / 48卷 / 11期

基金：

英国工程与自然科学研究理事会;

关键词：

Nonlinear elasticity; Membrane tubes; Stability; Aneurysms; FINITE DEFORMATIONS; CYLINDRICAL MEMBRANE; ELASTIC MEMBRANES; INTERNAL-PRESSURE; BIFURCATION; PROPAGATION; INSTABILITY; CYLINDERS;

D O I：

10.1016/j.ijengsci.2010.08.007

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the stability of localized bulging solutions in an inflated hyperelastic membrane tube using an energy stability criterion. We first use this criterion to confirm a previously known result obtained using a dynamic stability criterion, namely that under pressure control all such bulging solutions are unstable. It is then shown that, under volume control, the solutions in the early stages of bulging are unstable whereas those in the later stages of bulging are stable. To be more precise, it is found that the unstable solutions correspond exactly to the snap-back section of the associated pressure-volume diagram. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.

引用

页码：1242 / 1252

页数：11

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